Statistical modeling of scattering matrix elements

Attention is paid to distribution laws describing the statistical characteristics of scattering matrix elements. Taking into account the many mathematical difficulties to set up an analytical approach, it is shown how to use numerical methods as a promising alternative. The probability density functions of the real and imaginary parts of the measured scattering matrix elements, as well as modules and phase values are determined. They are used in the process of statistical modeling and lead towards distribution laws, which are in good agreement with the measured statistics. A search of best-fitted distribution laws has been carried out on the basis of generalized Pearson curve classes.